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Finding the Fourth Proportional to 12,477.69, 18,716.85 and 3,712.68

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Solution

The fourth proportional to 12,477.69, 18,716.85 and 3,712.68 is: 5,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.69 : 18,716.85 = 3,712.68 : x
  2. Step 2: Convert to fraction form
    12,477.69/18,716.85 = 3,712.68/x
  3. Step 3: Cross multiply
    12,477.69x = 18,716.85 × 3,712.68
  4. Step 4: Simplify right side
    12,477.69x = 69,489,674.66
  5. Step 5: Solve for x
    x = 69,489,674.66/12,477.69
  6. Step 6: Final answer
    x = 5,569.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.